Suppose 39 women used a skin cream for 22 weeks. At the end of the period a dermatologist judged whether each women exhibited skin imporvement
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Step 1: Define the Objective The objective is to determine how many of the 39 women showed skin improvement after using the skin cream for 22 weeks, as judged by a dermatologist. Show more…
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A new cream that advertises that it can reduce wrinkles and improve skin was subject to a recent study. A sample of 53 women over the age of 50 used the new cream for 6 months. Of those 53 women, 34 of them reported skin improvement(as judged by a dermatologist). Is this evidence that the cream will improve the skin of more than 50% of women over the age of 50? Test using α = 0.01. (a) Test statistic: z = (b) P Value: (c) The final conclusion is • A. We can reject the null hypothesis that p = 0.5 and accept that p > 0.5. That is, the cream can improve the skin of more than 50% of women over 50. • B. There is not sufficient evidence to reject the null hypothesis that p = 0.5. That is, there is not sufficient evidence to reject that the cream can improve the skin of more than 50% of women over 50.
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A new cream that advertises that it can reduce wrinkles and improve skin was subject to a recent study. A sample of 51 women over the age of 50 used the new cream for 6 months. Of those 51 women, 35 of them reported skin improvement(as judged by a dermatologist). Is this evidence that the cream will improve the skin of more than 60% of women over the age of 50? Test using α=0.05. (a) Test statistic: z= (b) Critical Value: z∗= (c) The final conclusion is A. There is not sufficient evidence to reject the null hypothesis that p=0.6. That is, there is not sufficient evidence to reject that the cream can improve the skin of more than 60% of women over 50. B. We can reject the null hypothesis that p=0.6 and accept that p>0.6. That is, the cream can improve the skin of more than 60% of women over 50.
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Consider an experiment designed to determine the effectiveness of a new medicated skin cream, M-Cream, by tracking skin improvement. This study will focus only on people with eczema. Volunteers are randomly assigned to two groups. Group 1 will receive samples of M-Cream and Group 2 will receive a cream with no active ingredients, X-Cream. Identify the response variable. Answer: The response variable is the improvement of the skin.
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